There has been myriad research detailing the adverse effects of children (aka developing humans) viewing violence, sex, drugs, etc. I think four year-olds safely qualify as developing. If stuff like this isn't alarming enough, consider a more extreme example like the two year old in Indonesia who smokes a couple packs of cigarettes per day http://www.cnn.com/2010/WORLD/asiapcf/05/31/indonesia.smokin... . You're hurting these kids' chances (of living a healthy life/of relating to their peers/of being successful/ etc)
For those hounding me for citations, here's something I quickly rustled up:
From an economist: http://www.scribd.com/doc/22743802/Learning-Violence-Young
From a social psychologist: http://www.scribd.com/doc/2038214/Video-Game-Violence
From a the Institution of Youth Development in Washington DC: http://www.scribd.com/doc/33292276/Violence